Lefschetz Coincidence Theory for Maps Between Spaces of Different Dimensions

Details Lefschetz Coincidence Theory for Maps Between Spaces of Different Dimensions Lefschetz Coincidence Theory for Maps Between Spaces of Different Dimensions

1999-09-04

arxiv.org/abs/math/9909028v3

Topology Appl. 116 (2001) 1, 137-152

Mathematics

Algebraic Topology

Final version: 14 pages. Two minor corrections. To appear in Topology Appl

Scientific paper

For a given pair of maps f,g:X->M from an arbitrary topological space to an
n-manifold, the Lefschetz homomorphism is a certain graded homomorphism
L:H(X)->H(M) of degree (-n). We prove a Lefschetz-type coincidence theorem: if
the Lefschetz homomorphism is nontrivial then there is an x in X such that
f(x)=g(x).

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